What is the Greatest Common Factor of 21624 and 21635?

Greatest common factor (GCF) of 21624 and 21635 is 1.

GCF(21624,21635) = 1

We will now calculate the prime factors of 21624 and 21635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21624 and 21635.

How to find the GCF of 21624 and 21635?

We will first find the prime factorization of 21624 and 21635. After we will calculate the factors of 21624 and 21635 and find the biggest common factor number .

Step-1: Prime Factorization of 21624

Prime factors of 21624 are 2, 3, 17, 53. Prime factorization of 21624 in exponential form is:

21624 = 2³ × 3¹ × 17¹ × 53¹

Step-2: Prime Factorization of 21635

Prime factors of 21635 are 5, 4327. Prime factorization of 21635 in exponential form is:

21635 = 5¹ × 4327¹

Step-3: Factors of 21624

List of positive integer factors of 21624 that divides 21624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 53, 68, 102, 106, 136, 159, 204, 212, 318, 408, 424, 636, 901, 1272, 1802, 2703, 3604, 5406, 7208, 10812

Step-4: Factors of 21635

List of positive integer factors of 21635 that divides 21624 without a remainder.

1, 5, 4327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21624 and 21635. The biggest common factor number is the GCF number.
So the greatest common factor 21624 and 21635 is 1.

Also check out the Least Common Multiple of 21624 and 21635